Skip to main content
SpringerLink
Log in

On the accuracy of the Gaussian approximation

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. C. Berry, Trans. Am. Math. Soc. 49(1), 122–139 (1941).

    Article  MATH  Google Scholar 

  2. C.-G. Esseen, Ark. Mat. Astron. Fys. A28(9), 1–19 (1942).

    MathSciNet  Google Scholar 

  3. H. Bergström, Skand. Aktuar. J. 33, 37–62 (1949).

    Google Scholar 

  4. K. Takano, Res. Mem. Inst. Math. 9(6), 4.08–4.15 (1951).

    Google Scholar 

  5. V. M. Zolotarev, Teor. Veroyatn. Ee Primen. 10, 519–526 (1965).

    MathSciNet  Google Scholar 

  6. V. M. Zolotarev, Teor. Veroyatn. Ee Primen. 11, 108–119 (1966).

    MathSciNet  Google Scholar 

  7. V. M. Zolotarev, Z. Wahrsch. Verw. Geb. 8, 332–342 (1967).

    Article  MATH  MathSciNet  Google Scholar 

  8. V. M. Zolotarev, Dokl. Akad. Nauk SSSR 177, 501–504 (1967).

    MathSciNet  Google Scholar 

  9. P. van Beek, Z. Wahrsh Verw. Geb. 23, 187–196 (1972).

    Article  MATH  Google Scholar 

  10. I. S. Shiganov, Tr. VNIISI, 109–115 (1982).

  11. I. G. Shevtsova, Teor. Veroyatn. Ee Primen. 51, 622–626 (2006).

    MathSciNet  Google Scholar 

  12. C.-G. Esseen, Scand. Aktuar. J. 39, 160–170 (1956).

    MathSciNet  Google Scholar 

  13. L. Goldstein and G. Reinert, Ann. Appl. Prob. 7, 935–952 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  14. W. Hoeffding, Ann. Math. Stat. 26(2), 268–275 (1955).

    Article  MATH  MathSciNet  Google Scholar 

  15. H. Prawitz, Scand. Actuar. J., 145–156 (1975).

Download references

Author information

Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    I. S. Tyurin

Authors
  1. I. S. Tyurin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. S. Tyurin.

Additional information

Original Russian Text © I.S. Tyurin, 2009, published in Doklady Akademii Nauk, 2009, Vol. 429, No. 3, pp. 312–316.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tyurin, I.S. On the accuracy of the Gaussian approximation. Dokl. Math. 80, 840–843 (2009). https://doi.org/10.1134/S1064562409060155

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562409060155

Keywords

Search

Navigation